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Finding the Fourth Proportional to 779,782.80, 1,076,193.48 and 473,909

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Solution

The fourth proportional to 779,782.80, 1,076,193.48 and 473,909 is: 654,051.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,782.80 : 1,076,193.48 = 473,909 : x
  2. Step 2: Convert to fraction form
    779,782.80/1,076,193.48 = 473,909/x
  3. Step 3: Cross multiply
    779,782.80x = 1,076,193.48 × 473,909
  4. Step 4: Simplify right side
    779,782.80x = 510,017,775,913.32
  5. Step 5: Solve for x
    x = 510,017,775,913.32/779,782.80
  6. Step 6: Final answer
    x = 654,051.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.